GATE AG 2022 • Q51 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Irrigation Water Conveyance and Application Methods

Subtopic: Surface, sprinkler and micro irrigation methods

Question Statement:

A sprinkler irrigation system with an irrigation efficiency of 70% is used to irrigate 16 ha of maize crop. The crop evapotranspiration of 6 mm day⁻¹ is used for estimating the irrigation depth. If the irrigation system is operated 20 hours per day for 10 days, the system capacity in L s⁻¹ is _______. [round off to two decimal places]

Official Answer Key:

18.90 to 19.10

Step-by-Step Solution & Explanation

• Net depth required over 10 days = 6 mm/day × 10 days = 60 mm; gross depth = 60/0.70 = 85.714 mm • Gross volume = 0.085714 m × 160,000 m² (16 ha) = 13,714.3 m³ • Operating time = 20 h/day × 10 days = 200 h = 720,000 s • System capacity = 13,714.3/720,000 = 0.019047 m³/s = 19.05 L/s Computed value: 19.05 L/s (within official range 18.90–19.10) Section 6 — Agricultural Process Engineering

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